Answer: See bottom for more detail on two answers
a) 6 ≤ r ≤ -10
b) (-∞,-10] ∪ [6,∞)
Step-by-step explanation:
Question: |4r + 8| ≥ 32
Question Pt.1) 4r+8 ≥ 32 <-- All steps to Pt.1 are underlined
Question Pt.2) 4r+8 ≤ -32
1) Subtract 8 from both sides:
4r≥24
2) Divide both sides by 4:
r≥6
1) Subtract 8 from both sides:
4r≤-40
2) Divide both sides by 4:
r≤-10
This answer can be written in several ways, which include the following:
a) 6 ≤ r ≤ -10
b) (-∞,-10] ∪ [6,∞)
Footnotes:
- Answer form A is written in inequality notation
- Answer form B is written in interval notation
